Answer
a) Quotient Rule
b) Power of a Product Rule
c) Negative Exponent Rule
Work Step by Step
a) The student used the Quotient Rule, which states that $\dfrac{x^m}{x^n}=x^{m-n}.$
b) The student used the Power of a Product Rule, which states that $\left( x^my^n \right)^p=x^{mp}y^{np}.$
c) The student used the Negative Exponent Rule, which states that $x^{-m}=\dfrac{1}{x^m}$ or $\dfrac{1}{x^{-m}}=x^m.$
